A particle starts from origin O from rest and moves with a uniform acceleration along the positive x-axis. Identify all figures that correctly represent the motion qualitatively. (a = acceleration, v = velocity, x = displacement, t = time)

Question

Accepted Answer

(1) (A), (B), (D). Uniform acceleration from rest: a is constant (a horizontal line, A), v = at is a straight line through the origin (B), and x = 1/2at² is a parabola curving upward, its slope growing (D). Graph (C) curves the other way: its slope falls with time, which would mean a decreasing velocity. (A), (B), (D).

A particle starts from origin O from rest and moves with a uniform acceleration along the positive x-axis. Identify all figures that correctly represent the motion qualitatively. (a = acceleration, v = velocity, x = displacement, t = time)

Step-by-step solution

Why the other options are wrong